4835952000 has 768 divisors, whose sum is σ = 19659594240. Its totient is φ = 1128960000.

The previous prime is 4835951977. The next prime is 4835952001. The reversal of 4835952000 is 2595384.

4835952000 is a `hidden beast` number, since 4 + 83 + 59 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4835952001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68111965 + ... + 68112035.

It is an arithmetic number, because the mean of its divisors is an integer number (25598430).

Almost surely, 2^4835952000 is an apocalyptic number.

4835952000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4835952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829797120).

4835952000 is an abundant number, since it is smaller than the sum of its proper divisors (14823642240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4835952000 is a wasteful number, since it uses less digits than its factorization.

4835952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4835952000 is about 69541.0094836133. The cubic root of 4835952000 is about 1691.0663997690.

The spelling of 4835952000 in words is "four billion, eight hundred thirty-five million, nine hundred fifty-two thousand".